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olga55 [171]
2 years ago
5

The table shows how an elevator 500 feet above the ground is descending at a steady rate.

Mathematics
1 answer:
lapo4ka [179]2 years ago
7 0

Answer:

h(t) = -5t + 500

Step-by-step explanation:

At time zero, the elevator is at 500 ft.

At time 5 seconds, the elevator is at 475 ft.

The difference in height is -25 ft.

The elevator traveled -25 ft (25 ft down) in 5 seconds, so it travels at a speed of 5 ft per second. Since it is traveling down, its speed is -5 ft/sec.

For each second of travel, it loses 5 ft of height.

h(t) = -5t + 500

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Clare wants to mail a package that weighs 4 1/2 ponds what could be its volume in liters
Sati [7]

Answer:

The volume in liters is 2.041165665 liter.

Step-by-step explanation:

Given : Clare wants to mail a package that weighs 4\frac{1}{2} pounds.

To find : What could be its volume in liters ?

Solution :

We know that,

Pound (lb) is a unit of Weight used in Standard system.

Liter (l) is a unit of Volume used in Metric system.

To convert 1 pound into liter is

1 pound (lb) = 0.45359237 liter (l)

4\frac{1}{2} pounds in simpler fraction is \frac{9}{2}

Converting into liter,

\frac{9}{2} pound (lb)=\frac{9}{2}\times 0.45359237 liter (l)

\frac{9}{2} pound (lb) = 2.041165665 liter (l).

Therefore, the volume in liters is 2.041165665 liter.

7 0
3 years ago
In an arithmetic sequence, t4 + t5 + t6 = 300, and t15 +t16+ t17 = 201. Find t18.
stiks02 [169]
In an arithmetic sequence:
Tn=t₁+(n-1)d

t₄=t₁+(4-1)d=t₁+3d
t₅=t₁+(5-1)d=t₁+4d
t₆=t₁+(6-1)d=t₁+5d

t₄+t₅+t₆=(t₁+3d) +(t₁+4d)+(t₁+5d)=3t₁+12d

Therefore:
3t₁+12d=300    (1)


t₁₅=t₁+(15-1)d=t₁+14d
t₁₆=t₁+(16-1)d=t₁+15d
t₁₇=t₁+(17-1)d=t₁+16d

t₁₅+t₁₆+t₁₇=(t₁+14d)+(t₁+15d)+(t₁+16d)=3t₁+45d

Therefore:
3t₁+45d=201    (2)

With the equations (1) and (2) we make an system of equations:

3t₁+12d=300
3t₁+45d=201

we can solve this system of equations by reduction method.

  3t₁+12d=300
-(3t₁+45d=201)
-----------------------------
       -33d=99      ⇒d=99/-33=-3

3t₁+12d=300
3t₁+12(-3)=300
3t₁-36=300
3t₁=300+36
3t₁=336
t₁=336/3
t₁=112

Threfore:

Tn=112+(n-1)(-3)
Tn=112-3n+3
Tn=115-3n

Now, we calculate T₁₈:

T₁₈=115-3(18)=115-54=61

Answer: T₁₈=61




5 0
3 years ago
Annie earns $7.50 per hour working after school. She needs at least $185 for a stereo system. Write an inequality that describes
Lyrx [107]

Answer:

7.50x=185

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What linear function can be represented by the set of ordered pairs?
zzz [600]
<span>Solving for the slope using points ( (−4, 15), (0, 5)</span>  
M = ( 15 – 5) / ( -4 – 0) = -5 / 2  
Solving for b <span> 
Y = mx + b</span>   5 = 0(-5/2) + b
B = 5  
So the linear function is
<span>Y = (-5/2) x + 5</span>
8 0
2 years ago
Read 2 more answers
Can someone answer all of my questions cause I need the answers rn.ty ILY <br><br>​
slamgirl [31]

Answer:

Sure

Step-by-step explanation:

But Where's the questions sweetie

7 0
2 years ago
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